Least Common Multiple of 50/312, 21/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/312, 21/549 quickly i.e. 350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/312, 21/549 is 350.

LCM(50/312, 21/549) = 350

LCM of 50/312, 21/549

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 50/312,21/549

Given numbers are 50/312,21/549

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 50,21

Least Common Multiple of Numerators i.e. LCM of 50,21 is 1050.

GCF of Denominators means GCF of 312,549 as per the given fractions.

GCF of 312,549 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,21

LCM of Fractions 50/312,21/549 is 350

Given numbers has no common factors except 1. So, there LCM is their product i.e 1050

Least Common Multiple of 50,21 with GCF Formula

Least Common Multiple of 50,21 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 50,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,21) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(50,21) x common factors =1 x 1 = 1

LCM(50,21) = ( 50 × 21 ) / 1

LCM(50,21) = 1050 / 1

LCM(50,21) = 1050


Lets's calculate GCF of 312,549

3 312, 549
104, 183

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1050/3

Therefore the LCM of Fractions 50/312,21/549 is 350

Greatest Common Factor of 312,549 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,549 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Greatest Common Factor

We found the factors 312,549 . The biggest common factor number is the GCF number.
So the greatest common factor 312,549 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 50/312, 21/549

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 50/312, 21/549?

Answer: LCM of Numerators as per given numbers 50/312, 21/549 is

LCM of Numerators i.e. for 50,21 is 1050

GCF of denominators i.e. for 312,549 is 3.

Thus, LCM of Fractions is 350.Finally, LCM of Fractions for 50/312, 21/549 is 350.